3,980,331

3² × 71 × 6229

3,980,331 factors as 3^2 × 71 × 6229. Its 12 positive divisors give a proper-divisor sum of 1,850,949, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 71 × 6229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,831,280

Proper Divisor Sum 1,850,949

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3980323 ← → #3980341

Radix Representation

Decimal	3980331
Binary	1111001011110000101011 (22 bits)
Octal	0o17136053
Hexadecimal	0x3CBC2B

Divisor Catalog (12)

1 3 9 71 213 639 6,229 18,687 56,061 442,259 1,326,777 3,980,331

Collatz Trajectory (123 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,980,331 11,940,994 5,970,497 17,911,492 8,955,746 4,477,873 13,433,620 6,716,810 3,358,405 10,075,216 5,037,608 2,518,804 1,259,402 629,701 1,889,104 944,552 472,276 236,138 118,069 354,208 177,104 88,552 44,276 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270

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